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Finding the Fourth Proportional to 102,755.28, 141,849.72 and 65,080.56

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Solution

The fourth proportional to 102,755.28, 141,849.72 and 65,080.56 is: 89,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,755.28 : 141,849.72 = 65,080.56 : x
  2. Step 2: Convert to fraction form
    102,755.28/141,849.72 = 65,080.56/x
  3. Step 3: Cross multiply
    102,755.28x = 141,849.72 × 65,080.56
  4. Step 4: Simplify right side
    102,755.28x = 9,231,659,213.44
  5. Step 5: Solve for x
    x = 9,231,659,213.44/102,755.28
  6. Step 6: Final answer
    x = 89,841.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.